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19999680 = 263583251
BaseRepresentation
bin100110001001…
…0101111000000
31101122002101220
41030102233000
520104442210
61552355040
7331665051
oct114225700
941562356
1019999680
1110320068
126845a80
1341b323c
142928728
151b50c70
hex1312bc0

19999680 has 112 divisors (see below), whose sum is σ = 64520064. Its totient is φ = 5248000.

The previous prime is 19999663. The next prime is 19999697. The reversal of 19999680 is 8699991.

It is an interprime number because it is at equal distance from previous prime (19999663) and next prime (19999697).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79555 + ... + 79805.

It is an arithmetic number, because the mean of its divisors is an integer number (576072).

Almost surely, 219999680 is an apocalyptic number.

19999680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32260032).

19999680 is an abundant number, since it is smaller than the sum of its proper divisors (44520384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19999680 is a wasteful number, since it uses less digits than its factorization.

19999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 51.

The square root of 19999680 is about 4472.1001777688. The cubic root of 19999680 is about 271.4403139624.

The spelling of 19999680 in words is "nineteen million, nine hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 120 160 166 192 240 249 251 320 332 415 480 498 502 664 753 830 960 996 1004 1245 1255 1328 1506 1660 1992 2008 2490 2510 2656 3012 3320 3765 3984 4016 4980 5020 5312 6024 6640 7530 7968 8032 9960 10040 12048 13280 15060 15936 16064 19920 20080 20833 24096 26560 30120 39840 40160 41666 48192 60240 62499 79680 80320 83332 104165 120480 124998 166664 208330 240960 249996 312495 333328 416660 499992 624990 666656 833320 999984 1249980 1333312 1666640 1999968 2499960 3333280 3999936 4999920 6666560 9999840 19999680